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A Generalization of the First Beurling–Malliavin Theorem

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Abstract

In this paper, we announce a result that generalizes the first Beurling–Malliavin theorem. In other words, we give a new sufficient condition on a function guaranteeing that it belongs to the Beurling–Malliavin class of majorants. It is also shown that the main result of this article is sharp in many senses.

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Funding

This research was supported by the Russian Science Foundation (grant no. 18-11-00053), https://rscf.ru/project/18-11-00053/.

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Correspondence to I. M. Vasilyev.

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The author declares that he has no conflicts of interest.

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The text was submitted by the author in English.

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Vasilyev, I.M. A Generalization of the First Beurling–Malliavin Theorem. Dokl. Math. 107, 69–71 (2023). https://doi.org/10.1134/S1064562423700539

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  • DOI: https://doi.org/10.1134/S1064562423700539

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